Flat solutions of some non-Lipschitz autonomous semilinear equations may be stable for \(N \geq 3\)
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Publication:523808
DOI10.1007/s11401-016-1073-2zbMath1372.35110arXiv1611.03584OpenAlexW2567268251MaRDI QIDQ523808
Publication date: 21 April 2017
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.03584
Related Items (12)
Beyond the classical strong maximum principle: sign-changing forcing term and flat solutions ⋮ On periodic and compactly supported least energy solutions to semilinear elliptic equations with non-Lipschitz nonlinearity ⋮ Existence and multiplicity results for a class of semilinear elliptic equations ⋮ On the ambiguous treatment of the Schrödinger equation for the infinite potential well and an alternative via singular potentials: the multi-dimensional case ⋮ On global instability of solutions to hyperbolic equations with non-Lipschitz nonlinearity ⋮ Linearized stability for degenerate and singular semilinear and quasilinear parabolic problems: the linearized singular equation ⋮ On ground states and compactly supported solutions of elliptic equations with non-Lipschitz nonlinearities ⋮ Rayleigh quotients of the level set manifolds related to the nonlinear PDE ⋮ On partially free boundary solutions for elliptic problems with non-Lipschitz nonlinearities ⋮ On the exact multiplicity of stable ground states of non-Lipschitz semilinear elliptic equations for some classes of starshaped sets ⋮ Quasilinear eigenvalue problems with singular weights for the \(p\)-Laplacian ⋮ Separating solutions of nonlinear problems using nonlinear generalized Rayleigh quotients
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